Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
권호 표지
DOI QR코드

DOI QR Code

THE LANDAU-DE GENNES ENERGY IN A SMALL DOMAIN

  • Kwon, Baek-Joong (Department of Mathematics Chungnam National University) ;
  • Park, Jinhae (Department of Mathematics Chungnam National University)
  • Received : 2021.01.24
  • Accepted : 2021.01.26
  • Published : 2021.02.15
Download PDF
⟨ Previous Next ⟩

Abstract

In this paper, we investigate nontrivial equilibrium states of the Landau-de Gennes energy functional in a small domain.

Keywords

Acknowledgement

This work was financially supported by the National Research Foundation of Korea with Grant No. 2017R1D1A1B06033070.

References

  1. A. AMBROSETTI AND G. PRODI, A primer of Nonlinear Analysis, Cambridge University Press, Cambridge, 1995.
  2. P. BAUMAN, J. PARK AND D. PHILLIPS, Analysis of nematic liquid crystals with disclination lines. Arch. Ration. Mech. Anal., 205 (2012), no. 3, 795826.
  3. L.C. EVANS, Partial Differential Equations,2nd edition, AMS, 2010.
  4. M. GOLUBITSKY AND D. G. SCHAFFER, Singularities and groups in bifurcation theory. Vol. I, Springer-Verlag, New York, 1984.
  5. P. WAND AND M. J. MACLACHLAN, Liquid crystalline tactoids: ordered structure, defective coalescence and evolution in confined geometries, Philos. Trans. R. Soc. Lond. Ser. A., 376 (2018), no. 2112.